Question

The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?

Answer 1

D: 6w + 5

Step-by-step explanation:

The perimeter of a rectangle can be calculated as follows:

Perimeter = 2(width + length)

We are given that:

width = w units

length is 5/2 units greater than twice the width. This means that:

length = 2w + 5/2

Now, substitute in the above equation to get the expression for the perimeter as follows:

Perimeter = 2(width + length)

Perimeter = 2(w + 2w + 5/2)

Perimeter = 2(3w + 5/2)

Perimeter = 2(3w) + 2(5/2)

Perimeter = 6w + 5

Answer 2

Answer:
perimeter = 6w + 5 units

Step-by-step explanation:
Perimeter of a rectangle can be calculated as follows:
Perimeter = 2(width + length)

We are given that:
width = w units
length is 5/2 units greater than twice the width. This means that:
length = 2w + 5/2

Now, substitute in the above equation to get the expression for the perimeter as follows:
Perimeter = 2(width + length)
Perimeter = 2(w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 2(3w) + 2(5/2)
Perimeter = 6w + 5

Hope this helps :)